ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH THE MANNING-ROSEN POTENTIAL PLUS A RING-SHAPED-LIKE POTENTIAL

Ahmadov, H.; AYDIN, COŞKUN; Huseynova, N.; UZUN, OĞUZHAN

doi:10.1142/s0218301313500729

ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH THE MANNING-ROSEN POTENTIAL PLUS A RING-SHAPED-LIKE POTENTIAL

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Ahmadov H. I., AYDIN C., Huseynova N. S., UZUN Ö.

INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, vol.22, no.10, 2013 (SCI-Expanded)

Publication Type: Article / Article
Volume: 22 Issue: 10
Publication Date: 2013
Doi Number: 10.1142/s0218301313500729
Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Keywords: Nikiforov-Uvarov method, Manning-Rosen and ring-shaped potential, L-STATE, INTEGRALS
Karadeniz Technical University Affiliated: Yes

Abstract

The analytical solution of the Schrodinger equation for the Manning-Rosen potential plus a ring-shaped-like potential is obtained by applying the Nikiforov-Uvarov method by using the improved approximation scheme to the centrifugal potential for arbitrary l states. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary l states.